Answer:
The arc length is, 18.84 ft.
Step-by-step explanation:
Length of an arc is given by:
[tex]l = r \theta[/tex] .....[1]
where r is the radius of the circle and [tex]\theta[/tex] is the angle in radian.
As per the statement:
In a circle with a radius of 21 5/8 yd, an arc is intercepted by a central angle of [tex]\frac{5 \pi}{6}[/tex] radians
⇒r = 8 ft
and [tex]\theta = \frac{3 \pi}{4} = \frac{3 \cdot 3.14}{4}=2.355[/tex] radian
Substitute these values in [1] we have;
[tex]l =8 \cdot 2.355 = 18.84[/tex] ft.
therefore, the arc length is, 18.84 ft.
